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math.AP2022
Existence of nonnegative solutions for fractional Schrödinger equations with Neumann condition
Hamilton Bueno, Aldo H. S. Medeiros
In this paper we study a Neumann problem for the fractional Laplacian, namely \begin{equation}\left\{ \begin{array}{rcll} \varepsilon^{2s}(- Δ)^{s}u + u &=& f(u) \ \ &\mbox{in} \ \…
math.AP2022
Principal curves to fractional -Laplacian systems and related maximum and comparison principles
Anderson Luis Albuquerque de Araujo, Edir Junior Ferreira Leite, Aldo Henrique de Souza Medeiros
In this paper we develop a comprehensive study on principal eigenvalues and both the (weak and strong) maximum and comparison principles related to an important class of nonlinear…